Even the "old boys" on my allotment grow their cucumbers up frames; it seems the standard thing to do.
I have grown squashes and cucumbers in with my pea and bean wigwams, and they climb up with the rest, given encouragement. Much better than taking up all that space on the ground.
Plants thinking? I grew a pumpkin up an 8' hedge and it did not set fruit until it reached the top, where the fruit sat comfortably growing larger and larger completely out of reach. Any laughter came when I finally decided to dislodge it, which was surprisingly difficult and embarrassing.